A butterfly is 1 1/2 inches long and 1 2/3 inches wide. Lashay makes a scale drawing of the butterfly that is 1 inch long. What is the width of his drawing?

Respuesta :

Answer:

  1 1/9 inches

Step-by-step explanation:

The scale of the drawing is the ratio of the drawing size to the actual size. It applies to all drawing dimensions. This lets us write a proportion for the width of the drawing.

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setup

  drawing size / actual size = (1 in)/(1 1/2 in) = (width)/(1 2/3 in)

solution

Multiplying by 1 2/3 in, we find the width to be ...

  width = (1 2/3 in) × (1 in)/(1 1/2 in)

  width = (5/3 in)×1/(3/2) = (5/3 in)(2/3) = 10/9 in = 1 1/9 in

The width of the drawing is 1 1/9 inches.

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